An inverse identification strategy for the mechanical parameters of a phenomenological hysteretic constitutive model

•We present an algorithm for the identification of experimental hysteresis loops.•The algorithm uses a previously investigated and very versatile constitutive model.•It proved to be robust, stable and accurate in analyzing four experimental loops. An inverse strategy is developed for identifying the...

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Published in:Mechanical systems and signal processing Vol. 139; p. 106622
Main Authors: Sessa, Salvatore, Vaiana, Nicoló, Paradiso, Massimo, Rosati, Luciano
Format: Journal Article
Language:English
Published: Berlin Elsevier Ltd 01-05-2020
Elsevier BV
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Abstract •We present an algorithm for the identification of experimental hysteresis loops.•The algorithm uses a previously investigated and very versatile constitutive model.•It proved to be robust, stable and accurate in analyzing four experimental loops. An inverse strategy is developed for identifying the parameters of the hysteretic phenomenological constitutive model presented in Vaiana et al. (2019) and belonging to a wider class of hysteretic models. The model, differently from the celebrated Bouc-Wen one, permits the definition of either stress-strain or load-displacement relationships by closed-form expressions that do not require any iterative algorithm for the complete characterization of its response. The identification strategy is based on two optimization procedures performed in sequence in which a mean-square residual between a target and a computed response is minimized. The computation of suitable first trials is shown to represent an essential step of the procedure and is performed by taking advantage of the fact that its parameters correspond to physical quantities characterizing the experimental hysteretic loop. The procedure has been tested by identifying the mechanical parameters of two theoretical and four experimental responses for which numerical results prove the robustness and effectiveness of the proposed identification strategy.
AbstractList •We present an algorithm for the identification of experimental hysteresis loops.•The algorithm uses a previously investigated and very versatile constitutive model.•It proved to be robust, stable and accurate in analyzing four experimental loops. An inverse strategy is developed for identifying the parameters of the hysteretic phenomenological constitutive model presented in Vaiana et al. (2019) and belonging to a wider class of hysteretic models. The model, differently from the celebrated Bouc-Wen one, permits the definition of either stress-strain or load-displacement relationships by closed-form expressions that do not require any iterative algorithm for the complete characterization of its response. The identification strategy is based on two optimization procedures performed in sequence in which a mean-square residual between a target and a computed response is minimized. The computation of suitable first trials is shown to represent an essential step of the procedure and is performed by taking advantage of the fact that its parameters correspond to physical quantities characterizing the experimental hysteretic loop. The procedure has been tested by identifying the mechanical parameters of two theoretical and four experimental responses for which numerical results prove the robustness and effectiveness of the proposed identification strategy.
An inverse strategy is developed for identifying the parameters of the hysteretic phenomenological constitutive model presented in Vaiana et al. (2019) and belonging to a wider class of hysteretic models. The model, differently from the celebrated Bouc-Wen one, permits the definition of either stress-strain or load-displacement relationships by closed-form expressions that do not require any iterative algorithm for the complete characterization of its response. The identification strategy is based on two optimization procedures performed in sequence in which a mean-square residual between a target and a computed response is minimized. The computation of suitable first trials is shown to represent an essential step of the procedure and is performed by taking advantage of the fact that its parameters correspond to physical quantities characterizing the experimental hysteretic loop. The procedure has been tested by identifying the mechanical parameters of two theoretical and four experimental responses for which numerical results prove the robustness and effectiveness of the proposed identification strategy.
ArticleNumber 106622
Author Paradiso, Massimo
Rosati, Luciano
Vaiana, Nicoló
Sessa, Salvatore
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  givenname: Salvatore
  orcidid: 0000-0003-3209-5051
  surname: Sessa
  fullname: Sessa, Salvatore
  email: salvatore.sessa2@unina.it
  organization: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio, 21, 80124 Napoli, Italy
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  givenname: Nicoló
  surname: Vaiana
  fullname: Vaiana, Nicoló
  organization: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio, 21, 80124 Napoli, Italy
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  givenname: Massimo
  surname: Paradiso
  fullname: Paradiso, Massimo
  organization: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio, 21, 80124 Napoli, Italy
– sequence: 4
  givenname: Luciano
  surname: Rosati
  fullname: Rosati, Luciano
  organization: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio, 21, 80124 Napoli, Italy
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Keywords Hysteretic materials
Bouc Wen model
Inverse identification
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Snippet •We present an algorithm for the identification of experimental hysteresis loops.•The algorithm uses a previously investigated and very versatile constitutive...
An inverse strategy is developed for identifying the parameters of the hysteretic phenomenological constitutive model presented in Vaiana et al. (2019) and...
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SubjectTerms Bouc Wen model
Constitutive models
Hysteresis
Hysteretic materials
Inverse identification
Iterative algorithms
Iterative methods
Mathematical models
Mechanical properties
Optimization
Parameter identification
Robustness (mathematics)
Strategy
Title An inverse identification strategy for the mechanical parameters of a phenomenological hysteretic constitutive model
URI https://dx.doi.org/10.1016/j.ymssp.2020.106622
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